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Simplifying t2 + -12t + 60 = 0 Reorder the terms: 60 + -12t + t2 = 0 Solving 60 + -12t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + -12t + -60 + t2 = 0 + -60 Reorder the terms: 60 + -60 + -12t + t2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -12t + t2 = 0 + -60 -12t + t2 = 0 + -60 Combine like terms: 0 + -60 = -60 -12t + t2 = -60 The t term is -12t. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12t + 36 + t2 = -60 + 36 Reorder the terms: 36 + -12t + t2 = -60 + 36 Combine like terms: -60 + 36 = -24 36 + -12t + t2 = -24 Factor a perfect square on the left side: (t + -6)(t + -6) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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